On controlled mode discernibility for nonlinear hybrid systems with unknown exogenous input
On controlled mode discernibility for nonlinear hybrid systems with unknown exogenous input
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DOI：
10.1016/j.automatica.2022.110339
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发表时间：
2022-08
期刊：
影响因子：
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通讯作者：
Dawei Sun;Inseok Hwang
中科院分区：
文献类型：
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作者：
Dawei Sun;Inseok Hwang
本文考虑了具有未知切换和未知外生输入的非线性混杂系统的模态可控性和受控模态可控性，其潜在应用于故障检测与隔离、网络安全和鲁棒控制。我们形式化地定义了模可伸缩性和受控模可伸缩性，并从几何的角度刻画了这些性质。具体地说，我们回顾和补充了非线性系统的受控不变性的概念，在此基础上提出了一个新的概念，称为强受控不变性，作为一种工具来描述受控模式的可控制性。除了控制模式的一般特性，我们讨论了一些通常被认为是特殊的非线性，并证明了识别控制设计问题可以制定为二次博弈的某些情况下。
This paper considers the mode discernibility and controlled mode discernibility for nonlinear hybrid systems with unknown switchings and unknown exogenous input, motivated by its potential applications to fault detection and isolation, cyber-security, and robust control. We formally define the mode discernibility and controlled mode discernibility, and then characterize these properties from a geometric perspective. Specifically, we review and complement the concept of controlled invariance for nonlinear systems, based on which a new concept called strongly controlled invariance is proposed as a tool to characterize the controlled mode discernibility. Besides the general characterization of controlled mode discernibility, we discuss some commonly considered special nonlinearities, and demonstrate that the discerning control design problem can be formulated as a quadratic game for some cases.